Generalized Multiscale Inversion for Heterogeneous Problems
نویسندگان
چکیده
منابع مشابه
Mixed Multiscale Methods for Heterogeneous Elliptic Problems
We consider a second order elliptic problem written in mixed form, i.e., as a system of two first order equations. Such problems arise in many contexts, including flow in porous media. The coefficient in the elliptic problem (the permeability of the porous medium) is assumed to be spatially heterogeneous. The emphasis here is on accurate approximation of the solution with respect to the scale o...
متن کاملAn Efficient High Order Heterogeneous Multiscale Method for Elliptic Problems
We propose an efficient heterogeneous multiscale finite element method based on a local least-squares reconstruction of the effective matrix using the data retrieved from the solution of cell problems posed on the vertices of the triangulation. The method achieves high order accuracy for high order macroscopic solver with essentially the same cost as the linear macroscopic solver. Optimal error...
متن کاملAnalysis of the Heterogeneous Multiscale Method for Elliptic Homogenization Problems
A comprehensive analysis is presented for the heterogeneous multiscale method (HMM for short) applied to various elliptic homogenization problems. These problems can be either linear or nonlinear, with deterministic or random coefficients. In most cases considered, optimal estimates are proved for the error between the HMM solutions and the homogenized solutions. Strategies for retrieving the m...
متن کاملAdaptive finite element heterogeneous multiscale method for homogenization problems
Article history: Received 27 August 2009 Received in revised form 29 April 2010 Accepted 8 June 2010 Available online 18 June 2010
متن کاملAnalysis of the heterogeneous multiscale method for parabolic homogenization problems
The heterogeneous multiscale method (HMM) is applied to various parabolic problems with multiscale coefficients. These problems can be either linear or nonlinear. Optimal estimates are proved for the error between the HMM solution and the homogenized solution.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Computational Physics
سال: 2019
ISSN: 1815-2406
DOI: 10.4208/cicp.oa-2017-0184